Parallel Plate Capacitor

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Augusto García-valenzuela - One of the best experts on this subject based on the ideXlab platform.

  • Monitoring Hemolysis with a Parallel Plate Capacitor
    Proceedings, 2017
    Co-Authors: Anays Acevedo-barrera, Doris Atenea Cerecedo-mercado, Augusto García-valenzuela
    Abstract:

    A Parallel Plate Capacitor can be used as a high resolution sensor of the electrical characteristics [...]

  • An investigation into the applicability of perturbation techniques to solve the boundary integral equations for a Parallel-Plate Capacitor with a rough electrode
    Journal of Physics D: Applied Physics, 1998
    Co-Authors: Augusto García-valenzuela, Neil C. Bruce, Dmitri Kouznetsov
    Abstract:

    We derive a system of integral equations for the surface charge distribution on the electrodes of a Parallel-Plate Capacitor for which the profile of one electrode is rough. We show that the solution to this system of equations is tractable using a perturbation technique assuming small surface heights compared with the mean Plate separation. The accuracies of the first- and second-order perturbative approximations and of the local height approximation are evaluated for a few examples with a one-dimensional rough surface by comparing them with exact numerical results obtained by solving the boundary integral equations directly using a numerical procedure. Some general guidelines for when the first- and second-order approximations will be accurate are given. It is shown that the perturbative formulation provides approximations with a regime of validity that may extend over a larger region than the regime of validity of the local height approximation. These results could be useful for capacitive-sensor design purposes or in modelling solid-state electronic devices.

L. Jan Anton Koster - One of the best experts on this subject based on the ideXlab platform.

  • Rough Electrode Creates Excess Capacitance in Thin-Film Capacitors
    ACS applied materials & interfaces, 2017
    Co-Authors: Solmaz Torabi, Megan Cherry, Elisabeth A. Duijnstee, Vincent M. Le Corre, Li Qiu, Jan C. Hummelen, George Palasantzas, L. Jan Anton Koster
    Abstract:

    The Parallel-Plate Capacitor equation is widely used in contemporary material research for nanoscale applications and nanoelectronics. To apply this equation, flat and smooth electrodes are assumed for a Capacitor. This essential assumption is often violated for thin-film Capacitors because the formation of nanoscale roughness at the electrode interface is very probable for thin films grown via common deposition methods. In this work, we experimentally and theoretically show that the electrical capacitance of thin-film Capacitors with realistic interface roughness is significantly larger than the value predicted by the Parallel-Plate Capacitor equation. The degree of the deviation depends on the strength of the roughness, which is described by three roughness parameters for a self-affine fractal surface. By applying an extended Parallel-Plate Capacitor equation that includes the roughness parameters of the electrode, we are able to calculate the excess capacitance of the electrode with weak roughness. Mor...

Dmitri Kouznetsov - One of the best experts on this subject based on the ideXlab platform.

  • An investigation into the applicability of perturbation techniques to solve the boundary integral equations for a Parallel-Plate Capacitor with a rough electrode
    Journal of Physics D: Applied Physics, 1998
    Co-Authors: Augusto García-valenzuela, Neil C. Bruce, Dmitri Kouznetsov
    Abstract:

    We derive a system of integral equations for the surface charge distribution on the electrodes of a Parallel-Plate Capacitor for which the profile of one electrode is rough. We show that the solution to this system of equations is tractable using a perturbation technique assuming small surface heights compared with the mean Plate separation. The accuracies of the first- and second-order perturbative approximations and of the local height approximation are evaluated for a few examples with a one-dimensional rough surface by comparing them with exact numerical results obtained by solving the boundary integral equations directly using a numerical procedure. Some general guidelines for when the first- and second-order approximations will be accurate are given. It is shown that the perturbative formulation provides approximations with a regime of validity that may extend over a larger region than the regime of validity of the local height approximation. These results could be useful for capacitive-sensor design purposes or in modelling solid-state electronic devices.

Haiduke Sarafian - One of the best experts on this subject based on the ideXlab platform.

  • Rotating Elliptical Parallel-Plate Capacitor and a Transient Electric Circuit
    2008 International Conference on Computational Sciences and Its Applications, 2008
    Co-Authors: Haiduke Sarafian
    Abstract:

    We consider a pair of identical elliptical Plates and orient them at an arbitrary angle about their common axis through the centers, and perpendicular to the Plates. In terms of the dimensions of the ellipse and their angular orientation we derive an analytic expression for the overlapping area. We then express the orientation angle as a function of time. For at least two mechanical rotational modes, either a rotation with a constant pace or a rotation with a uniform angular acceleration we express the overlapping area as a continuous function of time. We then assume the elliptical Plates are made of metals and that the overlaid Plates are separated by a gap; the assembly becomes a Parallel-Plate Capacitor. We adjust the separation gap between the Plates so that the fringe effects are ignored. We insert our designed time-dependent Capacitor in series with an ohmic resistor and analyze the charging and discharging DC driven electrical characteristic signals of the resulting RC(t) circuit.

  • ICCSA Workshops - Rotating Elliptical Parallel-Plate Capacitor and a Transient Electric Circuit
    2008 International Conference on Computational Sciences and Its Applications, 2008
    Co-Authors: Haiduke Sarafian
    Abstract:

    We consider a pair of identical elliptical Plates and orient them at an arbitrary angle about their common axis through the centers, and perpendicular to the Plates. In terms of the dimensions of the ellipse and their angular orientation we derive an analytic expression for the overlapping area. We then express the orientation angle as a function of time. For at least two mechanical rotational modes, either a rotation with a constant pace or a rotation with a uniform angular acceleration we express the overlapping area as a continuous function of time. We then assume the elliptical Plates are made of metals and that the overlaid Plates are separated by a gap; the assembly becomes a Parallel-Plate Capacitor. We adjust the separation gap between the Plates so that the fringe effects are ignored. We insert our designed time-dependent Capacitor in series with an ohmic resistor and analyze the charging and discharging DC driven electrical characteristic signals of the resulting RC(t) circuit.

Shawn Stapleton - One of the best experts on this subject based on the ideXlab platform.

  • Quantum capacitance of resonant tunneling diodes
    Applied Physics Letters, 1991
    Co-Authors: Shawn Stapleton
    Abstract:

    We have developed a method for evaluating the capacitance created from charges stored in the quantum well. This capacitance is currently calculated by using the formula for a ParallelPlate Capacitor. We have shown that the simple formula for a ParallelPlate Capacitor is invalid for this estimation. Our method, which is based on the damped resonant tunneling model, predicts that the capacitance due to the charges stored in the well is about two to three orders of magnitude smaller than that previously estimated.